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20221120212100 = 2252929217665449
BaseRepresentation
bin1001001100100000110001…
…01011111110110010000100
32122121010020122011010111221
410212100120223332302010
510122300323233241400
6111001242051410124
74154633131560163
oct446203053766204
978533218133457
1020221120212100
116496802218185
122326ba42b3944
13b38ac70b7322
144dc9c93053da
15250ee75a0c1a
hex126418afec84

20221120212100 has 36 divisors (see below), whose sum is σ = 43927064464500. Its totient is φ = 8079741429760.

The previous prime is 20221120212091. The next prime is 20221120212101. The reversal of 20221120212100 is 121202112202.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 2441893774336 + 17779226437764 = 1562656^2 + 4216542^2 .

It is not an unprimeable number, because it can be changed into a prime (20221120212101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 108739825 + ... + 108925624.

It is an arithmetic number, because the mean of its divisors is an integer number (1220196235125).

Almost surely, 220221120212100 is an apocalyptic number.

20221120212100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20221120212100 is an abundant number, since it is smaller than the sum of its proper divisors (23705944252400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20221120212100 is a wasteful number, since it uses less digits than its factorization.

20221120212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217666392 (or 217666385 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 20221120212100 its reverse (121202112202), we get a palindrome (20342322324302).

The spelling of 20221120212100 in words is "twenty trillion, two hundred twenty-one billion, one hundred twenty million, two hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 929 1858 3716 4645 9290 18580 23225 46450 92900 217665449 435330898 870661796 1088327245 2176654490 4353308980 5441636225 10883272450 21766544900 202211202121 404422404242 808844808484 1011056010605 2022112021210 4044224042420 5055280053025 10110560106050 20221120212100